FUZZY STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION WITH THE FIXED POINT ALTERNATIVE

被引：0

作者：

Seo, Jeong Pil ^{[1
]}

Lee, Sungjin ^{[2
]}

Saadati, Reza ^{[3
]}

机构：

[1] Ohsang High Sch, Gumi 730842, Kyeongsangbuk, South Korea

[2] Daejin Univ, Dept Math, Pochon 487711, Kyeonggi, South Korea

[3] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2015年 / 22卷 / 03期

关键词：

fuzzy Banach space; fixed point; functional equation related to inner product space; Hyers-Ulam stability; quadratic mapping; additive mapping;

D O I：

10.7468/jksmeb.2015.22.3.285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [41], Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed positive integer l [GRAPHICS] holds for all x(1), . . . , x(2l) is an element of V. For the above equality, we can define the following functional equation [GRAPHICS] Using the fixed point method, we prove the Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces.

引用

页码：285 / 298

页数：14

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